Algorithms for non-linear contact constraints with application to stability problems of rods and shells
- verfasst von
- Peter Wriggers, W. Wagner, E. Stein
- Abstract
In this paper a class of non-linear problems is discussed where stability as well as post-buckling behaviour is coupled with contact constraints. The contact conditions are introduced via a perturbed Lagrangian formulation. From this formulation the penalty and Lagrangian multiplier method are derived. Both algorithms are investigated together with an algorithm based on an augmented Lagrangian method. The resulting finite element formulation is applied to structural problems of beams and shells undergoing finite elastic deflections and rotations. For the examination of the post-buckling behaviour the arc-length method is used. The performance of the element formulation and a comparison of the different contact algorithms are demonstrated by numerical examples.
- Organisationseinheit(en)
-
Institut für Baumechanik und Numerische Mechanik
- Typ
- Artikel
- Journal
- Computational mechanics
- Band
- 2
- Seiten
- 215-230
- Anzahl der Seiten
- 16
- ISSN
- 0178-7675
- Publikationsdatum
- 09.1987
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1007/BF00571026 (Zugang:
Unbekannt)
